Please answer all questions. (i) y = 2°, y = 1, y = 2;(iii) y = 110, y =1°;(ii) y = 12z – 2, y = z° – 10z(iv) y = 5, y = 2, 1 = 0;(vi) y = a - 2, y = -a + lz – 2.(v) y = 2, y = Va,1 = 0;Present your answers to the problem in six tables (a subproblem a table) similar to the following table:Subproblem (+) | AnswersR= the region bounded by the curvesy = sin(x), y = cos(z), z = 0.(a)z = 1/4I = 0,= sin(z), y = cos(x))(b)R=(c)(cos(x) – sin(z)) dx = v2 – 1;area(R) =(d)area(R) 0.41421.Attention WTEX users: the formulaI = 0,= sin(z), y= cos(x)I = 1/4R =in the above table is produced with the following LVTEX code:R =\begin{pmatrix} x=0, & x=\pi/4 \\ y=\sin(x), & y=\cos (x) \end{pmatrix} 1. (Areas of Plane Regions). For each of the subproblems below:(a) sketch the curves, shade the region R of the plane the curves bound;(b) represent the region R either as a Type I,I = a,y = g(x), y = f(x))R=or Type II region,y = c,y =dR=z = g(y), I = f(y))or as the unionR= R, U...UR,of several Type I, or Type II regions, if necessary (in the last case please provide description of all the regions R.);(c) find the area of the region R;(d) round your result in (c) to five decimal places.

Name: Please answer all questions. (i) y = 2°, y = 1, y = 2;(iii) y = 110, y
Uploaded: 2024-03-20T07:06:41.000Z
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Description: Please answer all questions. (i) y = 2°, y = 1, y = 2;(iii) y = 110, y =1°;(ii) y = 12z – 2, y = z° – 10z(iv) y = 5, y = 2, 1 = 0;(vi) y = a - 2, y = -a + lz – 2.(v) y = 2, y = Va,1 = 0;Present your answers to the problem in six tables (a subproblem